54201766752 has 144 divisors (see below), whose sum is σ = 177423966720. Its totient is φ = 15374727936.

The previous prime is 54201766741. The next prime is 54201766769. The reversal of 54201766752 is 25766710245.

54201766752 is a `hidden beast` number, since 5 + 420 + 176 + 6 + 7 + 52 = 666.

54201766752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 54201766698 and 54201766707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183513 + ... + 376935.

It is an arithmetic number, because the mean of its divisors is an integer number (1232110880).

Almost surely, 2^54201766752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54201766752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88711983360).

54201766752 is an abundant number, since it is smaller than the sum of its proper divisors (123222199968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54201766752 is a wasteful number, since it uses less digits than its factorization.

54201766752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193585 (or 193574 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 54201766752 in words is "fifty-four billion, two hundred one million, seven hundred sixty-six thousand, seven hundred fifty-two".